Finding the Third Proportional to 82,388.25 and 177,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,388.25 : 177,196.50 = 177,196.50 : x
2. Step 2: Convert to fraction form
   82,388.25/177,196.50 = 177,196.50/x
3. Step 3: Cross multiply
   82,388.25x = 177,196.50 × 177,196.50
4. Step 4: Simplify right side
   82,388.25x = 31,398,599,612.25
5. Step 5: Solve for x
   x = 31,398,599,612.25/82,388.25
6. Step 6: Final answer
   x = 381,105.31